In a binary number system, assume that a equals 00111 and b equals 01110, then in a decimal system ba, which is equal to A1B2C4D5.

To convert the binary numbers a and b into decimal, we first need to understand their values.

Binary to Decimal Conversion

In the binary system:

• a = 00111: This can be calculated as follows:
• 0 × 2^4 = 0
• 0 × 2^3 = 0
• 1 × 2^2 = 4
• 1 × 2^1 = 2
• 1 × 2^0 = 1
• Total for a = 0 + 0 + 4 + 2 + 1 = 7
• b = 01110: This can be calculated as follows:
• 0 × 2^4 = 0
• 1 × 2^3 = 8
• 1 × 2^2 = 4
• 1 × 2^1 = 2
• 0 × 2^0 = 0
• Total for b = 0 + 8 + 4 + 2 + 0 = 14

Combining the Values

Now, we need to interpret "ba" in the decimal system. If we treat "ba" as a concatenation of the decimal values of a and b, we get:

• Value of b = 14
• Value of a = 7

Thus, "ba" translates to 147 in decimal.

Final Representation

In the context of A1B2C4D5, if we consider A = 1, B = 4, C = 7, and D = 5, the values correspond to the digits of the decimal number formed by "ba". Therefore, the final answer is:

Decimal value of ba = 147