Methods, apparatuses, and articles associated with SIMD adding two integers are disclosed. In embodiments, a method may include element-wise SIMD adding corresponding elements of a first SIMD-sized integer (A) and a second SIMD-sized integer (B) to generate a SIMD-sized integer result (R) and a carry bit. A may have an integer size (SizeA), while B may have an integer size (SizeB). The addition, in response to SizeA greater than SizeB, may further include updating R and the carry bit in view of one or more elements of A that do not have corresponding element or elements of B. Further, element-wise SIMD adding may include performing one or more mathematical operations on first one or more masks, with the first one or more masks interpreted as integers, and interpreting one or more integer results of the one or more mathematical operations as second one or more masks.