Add the binary numbers 1110 base 2 and 111 base 2.

Welcome back boutique — missed you this week. To add the binary numbers 1110_2 and 111_2, we perform binary addition column by column, starting from the rightmost digit. Step 1: Align the numbers. c & 1 & 1 & 1 & 0_2 \\ + & 0 & 1 & 1 & 1_2 \\ Step 2: Add the rightmost column (0 + 1). 0 + 1 = 1. Write down 1. c & 1 & 1 & 1 & 0_2 \\ + & 0 & 1 & 1 & 1_2 \\ & & & & 1 \\ Step 3: Add the second column from the right (1 + 1). 1 + 1 = 10_2 (which is 0 with a carry of 1). Write down 0, carry 1. c & carry 1 \\ & 1 & 1 & 1 & 0_2 \\ + & 0 & 1 & 1 & 1_2 \\ & & & 0 & 1 \\ Step 4: Add the third column from the right, including the carry (1 + 1 + carry 1). 1 + 1 + 1 = 11_2 (which is 1 with a carry of 1). Write down 1, carry 1. c carry 1 & carry 1 \\ & 1 & 1 & 1 & 0_2 \\ + & 0 & 1 & 1 & 1_2 \\ & & 1 & 0 & 1 \\ Step 5: Add the leftmost column, including the carry (1 + 0 + carry 1). 1 + 0 + 1 = 10_2 (which is 0 with a carry of 1). Write down 0, carry 1. c carry 1 & carry 1 & carry 1 \\ & 1 & 1 & 1 & 0_2 \\ + & 0 & 1 & 1 & 1_2 \\ & 0 & 1 & 0 & 1 \\ Step 6: The final carry becomes the most significant digit. c carry 1 & carry 1 & carry 1 \\ & 1 & 1 & 1 & 0_2 \\ + & 0 & 1 & 1 & 1_2 \\ 1 & 0 & 1 & 0 & 1_2 \\ The sum is 10101_2. Comparing this result with the given options: (a) 1111_2 (b) 10100_2 (c) 10101_2 (d) 110_2 (e) 10011_2 The correct option is (c). The final answer is (c) 10101_2. Send me the next one 📸