diff --git a/erlang/apps/sim/src/sim_arithmetic.erl b/erlang/apps/sim/src/sim_arithmetic.erl
index fe8f4ff..970af08 100644
--- a/erlang/apps/sim/src/sim_arithmetic.erl
+++ b/erlang/apps/sim/src/sim_arithmetic.erl
@@ -26,6 +26,12 @@
 
 -export([ handle_AOBJN/4
         , handle_AOBJP/4
+        , handle_CAIE/4
+        , handle_CAIG/4
+        , handle_CAIGE/4
+        , handle_CAIL/4
+        , handle_CAILE/4
+        , handle_CAIN/4
         ]).
 
 -include("sim_core.hrl").
@@ -72,7 +78,84 @@ handle_AOBJN(Core, Mem, IR, EA) ->
     _ -> jump(Core1, Mem, EA)
   end.
 
+%% 2.6.2 Comparisons, Skips, and Jumps =========================================
+
+%% CAI - Compare AC Immediate and Skip if Condition Satisfied
+
+-spec handle_CAIL(#core{}, sim_mem:mem(), IR :: word(), #ea{})
+      -> {#core{}, sim_mem:mem(), {ok, integer()} | {error, {module(), term()}}}.
+handle_CAIL(Core, Mem, IR, EA) ->
+  AC = IR band 8#17,
+  CA = sim_core:get_ac(Core, AC),
+  skip_if_L(Core, Mem, sext36(CA), EA#ea.offset).
+
+-spec handle_CAIE(#core{}, sim_mem:mem(), IR :: word(), #ea{})
+      -> {#core{}, sim_mem:mem(), {ok, integer()} | {error, {module(), term()}}}.
+handle_CAIE(Core, Mem, IR, EA) ->
+  AC = IR band 8#17,
+  CA = sim_core:get_ac(Core, AC),
+  skip_if_E(Core, Mem, CA, EA#ea.offset).
+
+-spec handle_CAILE(#core{}, sim_mem:mem(), IR :: word(), #ea{})
+      -> {#core{}, sim_mem:mem(), {ok, integer()} | {error, {module(), term()}}}.
+handle_CAILE(Core, Mem, IR, EA) ->
+  AC = IR band 8#17,
+  CA = sim_core:get_ac(Core, AC),
+  skip_if_LE(Core, Mem, sext36(CA), EA#ea.offset).
+
+-spec handle_CAIGE(#core{}, sim_mem:mem(), IR :: word(), #ea{})
+      -> {#core{}, sim_mem:mem(), {ok, integer()} | {error, {module(), term()}}}.
+handle_CAIGE(Core, Mem, IR, EA) ->
+  AC = IR band 8#17,
+  CA = sim_core:get_ac(Core, AC),
+  skip_if_LE(Core, Mem, EA#ea.offset, sext36(CA)). % AC >= 0,E -> 0,E =< AC
+
+-spec handle_CAIN(#core{}, sim_mem:mem(), IR :: word(), #ea{})
+      -> {#core{}, sim_mem:mem(), {ok, integer()} | {error, {module(), term()}}}.
+handle_CAIN(Core, Mem, IR, EA) ->
+  AC = IR band 8#17,
+  CA = sim_core:get_ac(Core, AC),
+  skip_if_N(Core, Mem, CA, EA#ea.offset).
+
+-spec handle_CAIG(#core{}, sim_mem:mem(), IR :: word(), #ea{})
+      -> {#core{}, sim_mem:mem(), {ok, integer()} | {error, {module(), term()}}}.
+handle_CAIG(Core, Mem, IR, EA) ->
+  AC = IR band 8#17,
+  CA = sim_core:get_ac(Core, AC),
+  skip_if_L(Core, Mem, EA#ea.offset, sext36(CA)). % AC > 0,E -> 0,E < AC
+
 %% Miscellaneous ===============================================================
 
 jump(Core, Mem, EA) ->
   sim_core:run(Core#core{pc_offset = EA#ea.offset}, Mem).
+
+skip_if_E(Core, Mem, X, Y) ->
+  case X =:= Y of
+    true -> sim_core:skip(Core, Mem);
+    false -> sim_core:next_pc(Core, Mem)
+  end.
+
+skip_if_L(Core, Mem, X, Y) ->
+  case X < Y of
+    true -> sim_core:skip(Core, Mem);
+    false -> sim_core:next_pc(Core, Mem)
+  end.
+
+skip_if_LE(Core, Mem, X, Y) ->
+  case X =< Y of
+    true -> sim_core:skip(Core, Mem);
+    false -> sim_core:next_pc(Core, Mem)
+  end.
+
+skip_if_N(Core, Mem, X, Y) ->
+  case X =/= Y of
+    true -> sim_core:skip(Core, Mem);
+    false -> sim_core:next_pc(Core, Mem)
+  end.
+
+%% Sign-extend a uint36_t() to the full width of its representation type.
+-spec sext36(uint36_t()) -> integer().
+sext36(X) ->
+  UInt36Sbit = 1 bsl (36 - 1),
+  UInt36Max = (1 bsl 36) - 1,
+  ((X band UInt36Max) bxor UInt36Sbit) - UInt36Sbit.
diff --git a/erlang/apps/sim/src/sim_core.erl b/erlang/apps/sim/src/sim_core.erl
index 0a76203..1b6c133 100644
--- a/erlang/apps/sim/src/sim_core.erl
+++ b/erlang/apps/sim/src/sim_core.erl
@@ -288,6 +288,14 @@ dispatch(Core, Mem, IR, EA) ->
     8#261 -> sim_stack:handle_PUSH(Core, Mem, IR, EA);
     8#262 -> sim_stack:handle_POP(Core, Mem, IR, EA);
     8#263 -> sim_stack:handle_POPJ(Core, Mem, IR, EA);
+    8#300 -> next_pc(Core, Mem); % CAI = no-op
+    8#301 -> sim_arithmetic:handle_CAIL(Core, Mem, IR, EA);
+    8#302 -> sim_arithmetic:handle_CAIE(Core, Mem, IR, EA);
+    8#303 -> sim_arithmetic:handle_CAILE(Core, Mem, IR, EA);
+    8#304 -> skip(Core, Mem); % CAIA = SKIPA without the memory read
+    8#305 -> sim_arithmetic:handle_CAIGE(Core, Mem, IR, EA);
+    8#306 -> sim_arithmetic:handle_CAIN(Core, Mem, IR, EA);
+    8#307 -> sim_arithmetic:handle_CAIG(Core, Mem, IR, EA);
     8#400 -> sim_boolean:handle_SETZ(Core, Mem, IR, EA);
     8#401 -> sim_boolean:handle_SETZ(Core, Mem, IR, EA); % SETZI = SETZ
     8#402 -> sim_boolean:handle_SETZM(Core, Mem, IR, EA);
diff --git a/erlang/apps/sim/test/sim_arithmetic_tests.erl b/erlang/apps/sim/test/sim_arithmetic_tests.erl
index 7cdb27a..4e015c0 100644
--- a/erlang/apps/sim/test/sim_arithmetic_tests.erl
+++ b/erlang/apps/sim/test/sim_arithmetic_tests.erl
@@ -45,9 +45,19 @@
 
 -define(INSN_INVALID, ?INSN(0, 0, 0, 0, 0)).
 
+-define(OP_MOVEI,  8#201).
 -define(OP_MOVSI,  8#205).
+-define(OP_MOVNI,  8#211).
 -define(OP_AOBJP,  8#252).
 -define(OP_AOBJN,  8#253).
+-define(OP_CAI,    8#300).
+-define(OP_CAIL,   8#301).
+-define(OP_CAIE,   8#302).
+-define(OP_CAILE,  8#303).
+-define(OP_CAIA,   8#304).
+-define(OP_CAIGE,  8#305).
+-define(OP_CAIN,   8#306).
+-define(OP_CAIG,   8#307).
 
 %% 2.6.1 Add One to Both Halves of AC and Jump =================================
 
@@ -95,6 +105,135 @@ aobjn_test() ->
          [{?AC(1), ?COMMA2(0, 1)}                   % AC1 = 0,,1
          ]).
 
+%% 2.6.2 Comparisons, Skips, and Jumps =========================================
+
+%% CAI - Compare AC Immediate and Skip if Condition Satisfied
+
+cai_test() ->
+  Prog =
+    [ {1, 8#100, ?INSN(?OP_CAI, 0, 0, 0, 0)}         % 1,,100/ CAI
+    , {1, 8#101, ?INSN_INVALID}                      % 1,,101/ <invalid>
+    ],
+  expect(Prog, [], {1, 8#101}, ?DEFAULT_FLAGS, []).  % no skip
+
+cail_test() ->
+  Prog1 =
+    [ {1, 8#100, ?INSN(?OP_MOVNI, 1, 0, 0, 3)}       % 1,,100/ MOVNI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIL, 1, 0, 0, 2)}        % 1,,101/ CAIL 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog1, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog2 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 3)}       % 1,,100/ MOVEI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIL, 1, 0, 0, 2)}        % 1,,101/ CAIL 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog2, [], {1, 8#102}, ?DEFAULT_FLAGS, []). % no skip
+
+caie_test() ->
+  Prog1 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 2)}       % 1,,100/ MOVEI 1,2
+    , {1, 8#101, ?INSN(?OP_CAIE, 1, 0, 0, 2)}        % 1,,101/ CAIE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog1, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog2 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 3)}       % 1,,100/ MOVEI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIE, 1, 0, 0, 2)}        % 1,,101/ CAIE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog2, [], {1, 8#102}, ?DEFAULT_FLAGS, []). % no skip
+
+caile_test() ->
+  Prog1 =
+    [ {1, 8#100, ?INSN(?OP_MOVNI, 1, 0, 0, 3)}       % 1,,100/ MOVNI 1,3
+    , {1, 8#101, ?INSN(?OP_CAILE, 1, 0, 0, 2)}       % 1,,101/ CAILE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog1, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog2 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 2)}       % 1,,100/ MOVEI 1,2
+    , {1, 8#101, ?INSN(?OP_CAILE, 1, 0, 0, 2)}       % 1,,101/ CAILE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog2, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog3 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 3)}       % 1,,100/ MOVEI 1,3
+    , {1, 8#101, ?INSN(?OP_CAILE, 1, 0, 0, 2)}       % 1,,101/ CAILE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog3, [], {1, 8#102}, ?DEFAULT_FLAGS, []). % no skip
+
+caia_test() ->
+  Prog =
+    [ {1, 8#100, ?INSN(?OP_CAIA, 0, 0, 0, 0)}        % 1,,100/ CAIA
+    , {1, 8#101, ?INSN_INVALID}                      % 1,,101/ <invalid>
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    ],
+  expect(Prog, [], {1, 8#102}, ?DEFAULT_FLAGS, []).  % skip
+
+caige_test() ->
+  Prog1 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 3)}       % 1,,100/ MOVEI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIGE, 1, 0, 0, 2)}       % 1,,101/ CAIGE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog1, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog2 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 2)}       % 1,,100/ MOVEI 1,2
+    , {1, 8#101, ?INSN(?OP_CAIGE, 1, 0, 0, 2)}       % 1,,101/ CAIGE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog2, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog3 =
+    [ {1, 8#100, ?INSN(?OP_MOVNI, 1, 0, 0, 3)}       % 1,,100/ MOVNI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIGE, 1, 0, 0, 2)}       % 1,,101/ CAIGE 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog3, [], {1, 8#102}, ?DEFAULT_FLAGS, []). % no skip
+
+cain_test() ->
+  Prog1 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 3)}       % 1,,100/ MOVEI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIN, 1, 0, 0, 2)}        % 1,,101/ CAIN 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog1, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog2 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 2)}       % 1,,100/ MOVEI 1,2
+    , {1, 8#101, ?INSN(?OP_CAIN, 1, 0, 0, 2)}        % 1,,101/ CAIN 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog2, [], {1, 8#102}, ?DEFAULT_FLAGS, []). % no skip
+
+caig_test() ->
+  Prog1 =
+    [ {1, 8#100, ?INSN(?OP_MOVEI, 1, 0, 0, 3)}       % 1,,100/ MOVEI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIG, 1, 0, 0, 2)}        % 1,,101/ CAIG 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog1, [], {1, 8#103}, ?DEFAULT_FLAGS, []), % skip
+  Prog2 =
+    [ {1, 8#100, ?INSN(?OP_MOVNI, 1, 0, 0, 3)}       % 1,,100/ MOVNI 1,3
+    , {1, 8#101, ?INSN(?OP_CAIG, 1, 0, 0, 2)}        % 1,,101/ CAIG 1,2
+    , {1, 8#102, ?INSN_INVALID}                      % 1,,102/ <invalid>
+    , {1, 8#103, ?INSN_INVALID}                      % 1,,103/ <invalid>
+    ],
+  expect(Prog2, [], {1, 8#102}, ?DEFAULT_FLAGS, []). % no skip
+
 %% Common code to run short sequences ==========================================
 
 expect(Prog, ACs, ExpectedPC, ExpectedFlags, ExpectedEs) ->