BCD representation — decimal 16 as packed two-digit BCD What is the correct 8-bit BCD code for the decimal number 16 (with tens and ones encoded as 4 bits each)?

Introduction / Context:
In packed BCD, each decimal digit is encoded using 4 bits (a nibble). Two digits therefore occupy one byte. This format is common in calculators, financial processors, and display drivers where exact decimal digits are required.

Given Data / Assumptions:

• Target value: 16 decimal → digits 1 and 6.
• BCD digit mapping: 0–9 → 0000–1001.
• Packed format: high nibble = tens, low nibble = ones.

Concept / Approach:
Encode 1 as 0001 and 6 as 0110. Place 0001 in the high nibble (tens place) and 0110 in the low nibble (ones place). Concatenate to form one byte.

Step-by-Step Solution:

Verification / Alternative check:
Interpret 00010110 as BCD: high nibble 0001 = 1, low nibble 0110 = 6 → 16 decimal, confirming the encoding.

Why Other Options Are Wrong:

• 00010000: encodes 10, not 16.
• 00010010: encodes 12, not 16.
• 11100000: not valid BCD nibbles for 1 and 6.

Common Pitfalls:
Confusing pure binary for BCD or swapping nibbles (placing ones in the high nibble).

Final Answer:
00010110