📏 Inclusive Range Counting

The difference between two numbers is exclusive — it doesn’t count the starting point.
To include both endpoints, you must add 1 if we took the negative difference or subtract 1 if we took the positive difference

🧩 Examples

Case 1: From 31 down to 24

[31, 30, 29, 28, 27, 26, 25, 24]

• Difference: 31 - 24 = 7
• ✅ Total count: 31 - 24 + 1 = 8

Case 2: Starting at 1, want 8 numbers

[1, 2, 3, 4, 5, 6, 7, 8]

• Final number: 1 + 8 - 1 = 8
• ✅ Range: [1:8] → total count = 8

🧠 Why This Matters in HDL and Indexing

✅ Verilog slicing:

in[31:24]  // ✅ 8 bits: 31 - 24 + 1

✅ Looping:

for (i = 0; i < 8; i++)  // ✅ 8 iterations

✅ Array indexing:

mem[0:7]  // ✅ 8 elements